On the effect of self-penalization of piezoelectric composites in topology optimization

  • Authors:

  • Fabian Wein;Manfred Kaltenbacher;Barbara Kaltenbacher;Günter Leugering;Eberhard Bänsch;Fabian Schury

  • Affiliations:

  • Department of Mathematics, University of Erlangen-Nuremberg, Erlangen, Germany 91058;Department of Applied Mechatronics, Alps-Adriatic University Klagenfurt, Klagenfurt, Austria 9020;Institute of Mathematics and Scientific Computing, University of Graz, Graz, Austria 8010;Department of Mathematics, University of Erlangen-Nuremberg, Erlangen, Germany 91058;Department of Mathematics, University of Erlangen-Nuremberg, Erlangen, Germany 91058;Department of Mathematics, University of Erlangen-Nuremberg, Erlangen, Germany 91058

  • Venue:
  • Structural and Multidisciplinary Optimization
  • Year:
  • 2011

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Abstract

We investigate the occurrence of self-penalization in topology optimization problems for piezoceramic-mechanical composites. Our main goal is to give physical interpretations for this phenomenon, i.e., to study the question why for various problems intermediate material values are not optimal in the absence of explicit penalization of the pseudo densities. In order to investigate this effect numerical experiments for several static and/or dynamic actuator and sensor objective functions are performed and their respective results are compared. The objective functions are mean transduction, displacement, sound power, electric potential, electric energy, energy conversion and electric power.